Mathematics, S. G. R. R. ( P.G.) College, Dehradun
The effect of magnetic field on an incompressible (Kuvshiniski-Type) viscoelastic rotating fluid heated from below in porous medium is considered. For the case of stationary convection, magnetic field and medium permeability have both stabilizing and destabilizing effect on the thermal convection under some conditions whereas rotation has a stabilizing effect on the thermal convection. In the absence of rotation, medium permeability has a destabilizing effect while magnetic field has a stabilizing effect on the thermal convection in a Kuvshiniski viscoelastic rotation fluid. It is also found that presence of magnetic field and rotation introduced oscillatory modes in the system, whereas in their absence Principle of Exchange of Stabilities is satisfied in the system. Graphs also have been plotted by giving some numerical values to the parameters.